Question

what is the midpoint of the segment shown below (2 2) (3 5) a. (5/2, 7/2) b. (5, 7) c. (5/2, 7) d. (5, 7/2)

Answer 1

`( (5)/(2) \: </strong><strong>,</strong><strong> (7)/(2) )`

Option A is the correct option.

Explanation:

Let the points be A and B

A ( 2 , 2 ) ------> ( x1 , y1 )

B ( 3 , 5 ) -------> ( x2 , y2)

Now, let's find the mid-point :

Midpoint =
`((x1 + x2)/(2) \:</strong><strong>,</strong><strong> (y1 + y2)/(2) )`

plug the values

`= ( (2 + 3)/(2) \: </strong><strong>,</strong><strong> (2 + 5)/(2) )`

Calculate the sum

`= \: ( (5)/(2) \:</strong><strong>,</strong><strong> (7)/(2) )`

Hope this helps..

Best regards!!